Title
Multi-Scale Topological Analysis of Asymmetric Tensor Fields on Surfaces.
Abstract
Asymmetric tensor fields have found applications in many science and engineering domains, such as fluid dynamics. Recent advances in the visualization and analysis of 2D asymmetric tensor fields focus on pointwise analysis of the tensor field and effective visualization metaphors such as colors, glyphs, and hyperstreamlines. In this paper, we provide a novel multi-scale topological analysis framework for asymmetric tensor fields on surfaces. Our multi-scale framework is based on the notions of eigenvalue and eigenvector graphs. At the core of our framework are the identification of atomic operations that modify the graphs and the scale definition that guides the order in which the graphs are simplified to enable clarity and focus for the visualization of topological analysis on data of different sizes. We also provide efficient algorithms to realize these operations. Furthermore, we provide physical interpretation of these graphs. To demonstrate the utility of our system, we apply our multi-scale analysis to data in computational fluid dynamics.
Year
DOI
Venue
2020
10.1109/TVCG.2019.2934314
IEEE transactions on visualization and computer graphics
Keywords
Field
DocType
Eigenvalues and eigenfunctions,Manifolds,Topology,Two dimensional displays,Data visualization,Heuristic algorithms
Computer science,Tensor field,Theoretical physics,Theoretical computer science
Journal
Volume
Issue
ISSN
26
1
1077-2626
Citations 
PageRank 
References 
0
0.34
8
Authors
8
Name
Order
Citations
PageRank
Fariba Khan100.34
Lawrence Roy222.72
Eugene Zhang389243.56
Botong Qu472.86
Shih-Hsuan Hung501.35
Harry Yeh6303.31
Robert S Laramee723.06
Yue Zhang8238.01